$\frac{{\sin {{81}^o} + \cos {{81}^o}}}{{\sin {{81}^o} - \cos {{81}^o}}}$=
$cot9^o$
$tan9^o$
$cot54^o$
$tan54^o$
$E=\frac{1+tan\,9^o}{1-tan\,9^o} =tan\, 54^o$
જો $\tan \,(A + B) = p,\,\,\tan \,(A – B) = q,$ તો $\tan \,2A$ ની કિમત $p$ અને $q$ માં મેળવો.
જો ${\rm{cosec}}\theta = \frac{{p + q}}{{p – q}},$ તો $\cot \,\left( {\frac{\pi }{4} + \frac{\theta }{2}} \right) = $
$\frac{{\sin 3\theta + \sin 5\theta + \sin 7\theta + \sin 9\theta }}{{\cos 3\theta + \cos 5\theta + \cos 7\theta + \cos 9\theta }} = $
$\cos \alpha .\sin (\beta – \gamma ) + \cos \beta .\sin (\gamma – \alpha ) + \cos \gamma .\sin (\alpha – \beta ) = $
${(\cos \alpha + \cos \beta )^2} + {(\sin \alpha + \sin \beta )^2} = $
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